Increasing labor productivity (LP) is an actual task of the Russian economy and management of enterprises. Today, the country has a growing productivity gap between the most efficient and lagging companies. The aim of the study is to identify the key factors which determine the magnitude and growth rate of this indicator in the interests of revealing promising areas and ways of managing its growth. The paper describes the analysis of financial and economic indicators that are factors of sustainable growth in LP at domestic industrial enterprises, leading in this indicator in the period 2017–2019. The methodological basis has been the provisions of the production factors and productivity theories. The research method is based on the theorem of statistical hypotheses. The object of this research has been 94 Russian leading companies in terms of LP growth under reviewing period. An economic and statistical model of LP growth factors has been developed and the conditional probabilities of hypotheses have been calculated that characterize the ranges of growth of this indicator upon the occurrence of events corresponding to an increase in the values of financial and economic indicators. The key factors and the ranges of their change are highlighted for four ranges of the productivity rate: small, moderate, high and record. It is shown that the determining factors of a low rate are a revenue growth in the range from –23 to 57%, a decrease in the duration of an operating cycle to –7% and a growth in asset turnover up to 37%. The factors of the record rate of LP growth are revenue gain in the range 97–297%; operating cycle reduction in the range from –42 to –88% and the turnover of assets gain in the range 114–342%. The capital-labor ratio gain is considered with low probability as a factor of the moderate or high LP gain in combination with an increase in revenue and asset turnover. High correlation of the operating cycle reduction and increase the asset turnover can serve as an indicator of LP increase programs success. The proposed approach allowed to identify significant factors of LP growth at leading companies that had not been obvious during applying a regression analysis.

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En este artículo se elaboran modelos matemáticos dinámicos y estocásticos del desarrollo y los cambios organizacionales, así como los algoritmos para la optimización de la intensidad de los cambios organizativos. Se demuestra que la optimización de la intensidad de los cambios puede ser alcanzada a través de la optimización de la integración de los departamentos en función de sus competencias. Los modelos propuestos en este artículo pueden ser utilizados en el estudio de los procesos de desarrollo organizacional.

Improving labour productivity is one of the key challenges faced by the Russian economy. Since 2018, Russia has been implementing the national project "Labour Productivity and Employment Support". There are reasons to believe that the task of ensuring the required dynamics of productivity growth within the project needs further theoretical grounding. The scientific problem is that the change in the uncertainty of the project environment significantly affects the productivity growth. The optimal amounts of funding allocated at each of the project stages depend on the random factors, which makes it crucially important to take into account their intensity when planning the dynamics of productivity. The paper develops a stochastic mathematical economic model for managing the growth of labour productivity and substantiates its uses as a tool to solve the scientific problem. The author sets the scientific task to determine the intensity values of random factors, which make it possible to reach the project targets with the planned amount of funding. The methodological basis of the study rests on the concepts of economic growth, optimal control, and stochastic dynamic systems. The article assesses risks of irrational spending, presents scenarios of changing the project environment, and gives recommendations for adjusting the funding. The theoretical and practical significance of the study lies in the justification of the need for additional control over the expenditure of financial resources in order to avoid their irrational use under growing uncertainty. The research shows that reducing uncertainty through institutional changes will increase the intensity of funding without compromising the dynamic characteristics of the project. The author justifies the limitations and ways of using the developed model.

Serious growth in labour productivity is an essential task of Russian economy today, which was formulated in the national goals of the Russian Federation and the national project ‘Labour Productivity and Employment Support'. Current mathematic models and methods of analyzing the given problem cannot identify key factors affecting the capacity of the enterprise to provide a considerable growth in productivity in the short-term and medium-term perspective. The article puts forward a mathematic model for analyzing labour productivity dynamics, which was designed on the informational approach to system analysis. Specific features of the model are the use of the hypothesis theorem to get estimation of relative probability of achieving the target indicator and 2 variants of interpretation of probability to realize the situation factor. The research object is representative sample of industrial enterprises in Russia included in the top-100 leaders by labour productivity growth. The authors set and resolved the task to estimate relative steps of target information that determine the degree of conformity of an increase in key finance and economic parameters with attaining the goal, i.e. growth in labour productivity at the enterprise in 3-year perspective. As a result of modeling it was shown that the degree of relative expediency of high rates of proceed rise tend to decline as the ranges of labour productivity grow. At the same time the degree of relative of high rates of asset turn-over growth steps up in line with decreasing durability of operative cycle of the enterprise. In contrast to many works dealing with this problem it was shown that relative expediency of fundequipment at the enterprise is more noticeable for medium and high rates of labour productivity growth and extremely low in the record range. The obtained results demonstrate applied opportunities to use logic-mathematic tools of the information approach to analyze indicators of economic efficiency of business.